4141004004 has 36 divisors (see below), whose sum is σ = 10565375184. Its totient is φ = 1367433072.

The previous prime is 4141003991. The next prime is 4141004027. The reversal of 4141004004 is 4004001414.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×4141004004² = 34295828322288064032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 533662 + ... + 541365.

It is an arithmetic number, because the mean of its divisors is an integer number (293482644).

Almost surely, 2^4141004004 is an apocalyptic number.

It is an amenable number.

4141004004 is an abundant number, since it is smaller than the sum of its proper divisors (6424371180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4141004004 is a wasteful number, since it uses less digits than its factorization.

4141004004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075144 (or 1075139 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4141004004 is about 64350.6332835971. The cubic root of 4141004004 is about 1605.8385649137.

Adding to 4141004004 its reverse (4004001414), we get a palindrome (8145005418).

The spelling of 4141004004 in words is "four billion, one hundred forty-one million, four thousand, four".